Explicit elements of norm one for cyclic groups
Abstract
Let G be a cyclic p-group of order pn acting by automorphisms on a (non-necessarily commutative) ring R. Suppose there is an element x in R such that (1 + t + ... + tp-1)(x) = 1, where t is an element of order p in G. We show how to construct an element y in R such that (1 + s + ... + spn-1)(y) = 1, where s is a generator of G.
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